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Finding the Third Proportional to 5,762 and 12,640

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Solution

The third proportional to 5,762 and 12,640 is: 27,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 12,640 = 12,640 : x
  2. Step 2: Convert to fraction form
    5,762/12,640 = 12,640/x
  3. Step 3: Cross multiply
    5,762x = 12,640 × 12,640
  4. Step 4: Simplify right side
    5,762x = 159,769,600
  5. Step 5: Solve for x
    x = 159,769,600/5,762
  6. Step 6: Final answer
    x = 27,728.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.